






from __future__ import annotations

a_		:    Dict   							=     10






def 					lowerCamelCase__					(_UpperCAmelCase):
			SCREAMING_SNAKE_CASE							=			1
			SCREAMING_SNAKE_CASE							=			max(_UpperCAmelCase)
			while placement <= max_digit:
						# declare and initialize empty buckets
						SCREAMING_SNAKE_CASE							=			[[] for _ in range(_UpperCAmelCase)]
						# split list_of_ints between the buckets
						for i in list_of_ints:
									SCREAMING_SNAKE_CASE							=			int((i / placement) % RADIX)
									buckets[tmp].append(_UpperCAmelCase)
						# put each buckets' contents into list_of_ints
						SCREAMING_SNAKE_CASE							=			0
						for b in range(_UpperCAmelCase):
									for i in buckets[b]:
												SCREAMING_SNAKE_CASE							=			i
												a += 1
        # move to next
						placement *= RADIX
			return list_of_ints


if __name__ == "__main__":
				import doctest

				doctest.testmod()











"""simple docstring"""





from math import log

from scipy.constants import Boltzmann, physical_constants

SCREAMING_SNAKE_CASE__   =  300  # TEMPERATURE (unit = K)


def      UpperCAmelCase__				(    SCREAMING_SNAKE_CASE	:		float				,		SCREAMING_SNAKE_CASE	:		float				,		SCREAMING_SNAKE_CASE	:		float				,		):







      '''simple docstring'''




      if donor_conc <= 0:
            raise ValueError("""Donor concentration should be positive"""     )
      elif acceptor_conc <= 0:
            raise ValueError("""Acceptor concentration should be positive"""     )
      elif intrinsic_conc <= 0:
            raise ValueError("""Intrinsic concentration should be positive"""     )
      elif donor_conc <= intrinsic_conc:
            raise ValueError(
                """Donor concentration should be greater than intrinsic concentration"""     )
      elif acceptor_conc <= intrinsic_conc:
            raise ValueError(
                """Acceptor concentration should be greater than intrinsic concentration"""     )
      else:
            return (
                Boltzmann
                * T
                * log((donor_conc * acceptor_conc) / intrinsic_conc**2     )
                / physical_constants["electron volt"][0]
            )


if __name__ == "__main__":
       import doctest

       doctest.testmod()






